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Computational Methods in Nonlinear Structural and Solid Mechanics

Computational Methods in Nonlinear Structural and Solid Mechanics
Author: Ahmed K. Noor
Publisher: Elsevier
Total Pages: 472
Release: 2014-05-20
Genre: Mathematics
ISBN: 1483145646

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Computational Methods in Nonlinear Structural and Solid Mechanics covers the proceedings of the Symposium on Computational Methods in Nonlinear Structural and Solid Mechanics. The book covers the development of efficient discretization approaches; advanced numerical methods; improved programming techniques; and applications of these developments to nonlinear analysis of structures and solids. The chapters of the text are organized into 10 parts according to the issue they tackle. The first part deals with nonlinear mathematical theories and formulation aspects, while the second part covers computational strategies for nonlinear programs. Part 3 deals with time integration and numerical solution of nonlinear algebraic equations, while Part 4 discusses material characterization and nonlinear fracture mechanics, and Part 5 tackles nonlinear interaction problems. The sixth part discusses seismic response and nonlinear analysis of concrete structure, and the seventh part tackles nonlinear problems for nuclear reactors. Part 8 covers crash dynamics and impact problems, while Part 9 deals with nonlinear problems of fibrous composites and advanced nonlinear applications. The last part discusses computerized symbolic manipulation and nonlinear analysis software systems. The book will be of great interest to numerical analysts, computer scientists, structural engineers, and other professionals concerned with nonlinear structural and solid mechanics.


Nonlinear Computational Solid Mechanics

Nonlinear Computational Solid Mechanics
Author: Jamshid Ghaboussi
Publisher: CRC Press
Total Pages: 397
Release: 2017-07-06
Genre: Mathematics
ISBN: 1498746136

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This book presents the fundamentals of nonlinear mechanics within a modern computational approach based mainly on finite element methods. Both material and geometric nonlinearities are treated. The topics build up from the mechanics of finite deformation of solid bodies through to nonlinear structural behaviour including buckling, bifurcation and snap-through. The principles are illustrated with a series of solved problems. This book serves as a text book for a second year graduate course and as a reference for practitioners using nonlinear analysis in engineering and design.


Computational Methods in Structural Dynamics

Computational Methods in Structural Dynamics
Author: L. Meirovitch
Publisher: Springer Science & Business Media
Total Pages: 462
Release: 1980-10-31
Genre: Mathematics
ISBN: 9789028605800

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Nonlinear Structural Mechanics

Nonlinear Structural Mechanics
Author: Walter Lacarbonara
Publisher: Springer Science & Business Media
Total Pages: 812
Release: 2013-01-09
Genre: Science
ISBN: 1441912762

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This book reviews the theoretical framework of nonlinear mechanics, covering computational methods, applications, parametric investigations of nonlinear phenomena and mechanical interpretation towards design. Builds skills via increasing levels of complexity.


Nonlinear Solid Mechanics for Finite Element Analysis: Dynamics

Nonlinear Solid Mechanics for Finite Element Analysis: Dynamics
Author: Javier Bonet
Publisher: Cambridge University Press
Total Pages: 352
Release: 2021-03-18
Genre: Mathematics
ISBN: 1108916759

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Designing engineering components that make optimal use of materials requires consideration of the nonlinear static and dynamic characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, which requires an understanding of both the theoretical background and associated computer solution techniques. By presenting nonlinear solid mechanics, dynamic conservation laws and principles, and the associated finite element techniques together, the authors provide in this second book a unified treatment of the dynamic simulation of nonlinear solids. Alongside a number of worked examples and exercises are user instructions, program descriptions, and examples for two MATLAB computer implementations for which source codes are available online. While this book is designed to complement postgraduate courses, it is also relevant to those in industry requiring an appreciation of the way their computer simulation programs work.